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Exotic $T_{c\bar s0}^a(2900)^0$ and $T_{c\bar s0}^a(2900)^{++}$ States in Born-Oppenheimer Approximation

Halil Mutuk

TL;DR

This work addresses the open-charm, open-flavor tetraquark candidates $T_{c\bar{s}0}^a(2900)$ observed by LHCb. It employs the Born-Oppenheimer approximation within the dynamical diquark framework to compute the mass spectrum and spatial structure, treating the strange quark as a quasi-heavy source. The key finding is that axial-vector diquark configurations reproduce the observed masses and yield rms radii of $0.70$–$0.80$ fm, indicating compact tetraquarks rather than molecular states; scalar diquark configurations fail to match the data by about $150$–$160$ MeV. This supports a compact axial-vector diquark–antidiquark picture and demonstrates the viability of BO methods for mixed heavy–light tetraquarks, with implications for partner states and decay properties.

Abstract

We employ Born-Oppenheimer approximation to the $T_{c\bar s0}^a(2900)^0$ and $T_{c\bar s0}^a(2900)^{++}$ states observed by the LHCb Collaboration and study mass spectrum and root-mean-square radius values. For this purpose, we use dynamical diquark model. We assume that strange quark is a heavy for the usage of Born-Oppenheimer approximation. Our results strongly indicate that the $T_{c\overline{s}0}^{a}(2900)$ states are best described as composed of axial-vector (spin-1) diquark pairs. Furthermore, the calculated root-mean-square radius, $\langle r^{2}\rangle^{1/2} \approx 0.70-0.80$ fm, which is significantly less than 1 fm, provides compelling evidence that these are compact tetraquarks rather than loosely bound hadronic molecules.

Exotic $T_{c\bar s0}^a(2900)^0$ and $T_{c\bar s0}^a(2900)^{++}$ States in Born-Oppenheimer Approximation

TL;DR

This work addresses the open-charm, open-flavor tetraquark candidates observed by LHCb. It employs the Born-Oppenheimer approximation within the dynamical diquark framework to compute the mass spectrum and spatial structure, treating the strange quark as a quasi-heavy source. The key finding is that axial-vector diquark configurations reproduce the observed masses and yield rms radii of – fm, indicating compact tetraquarks rather than molecular states; scalar diquark configurations fail to match the data by about – MeV. This supports a compact axial-vector diquark–antidiquark picture and demonstrates the viability of BO methods for mixed heavy–light tetraquarks, with implications for partner states and decay properties.

Abstract

We employ Born-Oppenheimer approximation to the and states observed by the LHCb Collaboration and study mass spectrum and root-mean-square radius values. For this purpose, we use dynamical diquark model. We assume that strange quark is a heavy for the usage of Born-Oppenheimer approximation. Our results strongly indicate that the states are best described as composed of axial-vector (spin-1) diquark pairs. Furthermore, the calculated root-mean-square radius, fm, which is significantly less than 1 fm, provides compelling evidence that these are compact tetraquarks rather than loosely bound hadronic molecules.

Paper Structure

This paper contains 6 sections, 9 equations, 4 figures, 5 tables.

Table of Contents

  1. Introduction
  2. Born-Oppenheimer Approximation
  3. Dynamical Diquark Model
  4. Numerical Aspects
  5. Numerical Results
  6. Conclusion

Figures (4)

  • Figure 1: Mass predictions for $T_{c\bar{s}0}^a(2900)^0$ with spin-0 diquark configuration compared to experimental data.
  • Figure 2: Mass predictions for $T_{c\bar{s}0}^a(2900)^{++}$ with spin-0 diquark configuration compared to experimental data.
  • Figure 3: Mass predictions for $T_{c\bar{s}0}^a(2900)^0$ with spin-1 diquark configuration compared to experimental data.
  • Figure 4: Mass predictions for $T_{c\bar{s}0}^a(2900)^{++}$ with spin-1 diquark configuration compared to experimental data.